Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Mizuhara, Matthew S"'
Every continuous map between two compact Riemannian manifolds is homotopic to a harmonic map (HM). We show that a similar situation holds for continuous maps between a post-critically finite (p.c.f.) fractal and a circle. Specifically, we provide a g
Externí odkaz:
http://arxiv.org/abs/2407.16817
Math anxiety is ubiquitous. It not only affects student performance and confidence, but also can lead to avoidance of further math/STEM classes and careers. Cooperative learning (i.e., group work) is a proven strategy that can reduce math anxiety and
Externí odkaz:
http://arxiv.org/abs/2407.06351
In this work, we analyze the Kuramoto model (KM) with inertia on a convergent family of graphs. It is assumed that the intrinsic frequencies of the individual oscillators are sampled from a probability distribution. In addition, a given graph, which
Externí odkaz:
http://arxiv.org/abs/2205.02677
Publikováno v:
Chaos 32, 083116 (2022)
We study a system of coupled phase oscillators near a saddle-node on an invariant circle bifurcation and driven by random intrinsic frequencies. Under the variation of control parameters, the system undergoes a phase transition changing the qualitati
Externí odkaz:
http://arxiv.org/abs/2203.01456
Real world systems comprised of coupled oscillators have the ability to exhibit spontaneous synchronization and other complex behaviors. The interplay between the underlying network topology and the emergent dynamics remains a rich area of investigat
Externí odkaz:
http://arxiv.org/abs/2106.07119
The instability of mixing in the Kuramoto model of coupled phase oscillators is the key to understanding a range of spatiotemporal patterns, which feature prominently in collective dynamics of systems ranging from neuronal networks, to coupled lasers
Externí odkaz:
http://arxiv.org/abs/2105.07541
We study patterns observed right after the loss of stability of mixing in the Kuramoto model of coupled phase oscillators with random intrinsic frequencies on large graphs, which can also be random. We show that the emergent patterns are formed via t
Externí odkaz:
http://arxiv.org/abs/2009.00103
Autor:
Bolle, Nicolas, Mizuhara, Matthew S.
Phase-field models have recently had great success in describing the dynamic morphologies and motility of eukaryotic cells. In this work we investigate the minimal phase-field model introduced in [Berlyand, Potomkin, Rybalko (2017)]. Rigorous analysi
Externí odkaz:
http://arxiv.org/abs/2006.03017
The Kuramoto model of coupled phase oscillators with inertia on Erdos-Renyi graphs is analyzed in this work. For a system with intrinsic frequencies sampled from a bimodal distribution we identify a variety of two cluster patterns and study their sta
Externí odkaz:
http://arxiv.org/abs/2005.05367
When is good, good enough? This question lingers in approximation theory and numerical methods as a competition between accuracy and practicality. Numerical Analysis is traditionally where the rubber meets the road: students begin to use numerical al
Externí odkaz:
http://arxiv.org/abs/1902.07615